Theory of Probability and Mathematical Statistics
Unconditional Cesàro convergence of sequences of super-reflexive valued random variables
Abdessamad Dehaj and Mohamed Guessous
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Abstract: We establish that if X is a super-reflexive Banach space, every LX1 -bounded sequence has a subsequence for which any subsequences Cesàro converges unconditionally a.e. in X to the same limit, generalizing a similar result for a Hilbert space.
Keywords: Cesàro-convergence, Komlós, permutation, super-reflexive, unconditional convergence
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